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Finding the Fourth Proportional to 11,580.88, 15,977.90 and 7,102.38

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Solution

The fourth proportional to 11,580.88, 15,977.90 and 7,102.38 is: 9,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.88 : 15,977.90 = 7,102.38 : x
  2. Step 2: Convert to fraction form
    11,580.88/15,977.90 = 7,102.38/x
  3. Step 3: Cross multiply
    11,580.88x = 15,977.90 × 7,102.38
  4. Step 4: Simplify right side
    11,580.88x = 113,481,117.40
  5. Step 5: Solve for x
    x = 113,481,117.40/11,580.88
  6. Step 6: Final answer
    x = 9,799.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.